%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GEO086+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n017.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 16:11:47 EDT 2022

% Result   : Theorem 0.19s 0.52s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   20 (   6 unt;   0 def)
%            Number of atoms       :   50 (   8 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   44 (  14   ~;   9   |;  15   &)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   24 (  18   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f177,plain,
    $false,
    inference(subsumption_resolution,[],[f176,f143]) ).

fof(f143,plain,
    ~ open(sK13),
    inference(cnf_transformation,[],[f100]) ).

fof(f100,plain,
    ( part_of(sK13,sK14)
    & open(sK14)
    & ~ open(sK13) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14])],[f52,f99]) ).

fof(f99,plain,
    ( ? [X0,X1] :
        ( part_of(X0,X1)
        & open(X1)
        & ~ open(X0) )
   => ( part_of(sK13,sK14)
      & open(sK14)
      & ~ open(sK13) ) ),
    introduced(choice_axiom,[]) ).

fof(f52,plain,
    ? [X0,X1] :
      ( part_of(X0,X1)
      & open(X1)
      & ~ open(X0) ),
    inference(flattening,[],[f51]) ).

fof(f51,plain,
    ? [X0,X1] :
      ( ~ open(X0)
      & open(X1)
      & part_of(X0,X1) ),
    inference(ennf_transformation,[],[f19]) ).

fof(f19,plain,
    ~ ! [X0,X1] :
        ( ( open(X1)
          & part_of(X0,X1) )
       => open(X0) ),
    inference(rectify,[],[f18]) ).

fof(f18,negated_conjecture,
    ~ ! [X7,X0] :
        ( ( open(X0)
          & part_of(X7,X0) )
       => open(X7) ),
    inference(negated_conjecture,[],[f17]) ).

fof(f17,conjecture,
    ! [X7,X0] :
      ( ( open(X0)
        & part_of(X7,X0) )
     => open(X7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_2_7_2) ).

fof(f176,plain,
    open(sK13),
    inference(backward_demodulation,[],[f144,f172]) ).

fof(f172,plain,
    sK14 = sK13,
    inference(subsumption_resolution,[],[f171,f143]) ).

fof(f171,plain,
    ( open(sK13)
    | sK14 = sK13 ),
    inference(resolution,[],[f126,f145]) ).

fof(f145,plain,
    part_of(sK13,sK14),
    inference(cnf_transformation,[],[f100]) ).

fof(f126,plain,
    ! [X0,X1] :
      ( ~ part_of(X1,X0)
      | open(X1)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f84]) ).

fof(f84,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ part_of(X1,X0)
      | open(X1) ),
    inference(rectify,[],[f46]) ).

fof(f46,plain,
    ! [X1,X0] :
      ( X0 = X1
      | ~ part_of(X0,X1)
      | open(X0) ),
    inference(flattening,[],[f45]) ).

fof(f45,plain,
    ! [X1,X0] :
      ( open(X0)
      | ~ part_of(X0,X1)
      | X0 = X1 ),
    inference(ennf_transformation,[],[f30]) ).

fof(f30,plain,
    ! [X1,X0] :
      ( ( part_of(X0,X1)
        & X0 != X1 )
     => open(X0) ),
    inference(rectify,[],[f8]) ).

fof(f8,axiom,
    ! [X1,X0] :
      ( ( X0 != X1
        & part_of(X1,X0) )
     => open(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c1) ).

fof(f144,plain,
    open(sK14),
    inference(cnf_transformation,[],[f100]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : GEO086+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35  % Computer : n017.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Mon Aug 29 21:04:50 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.19/0.51  % (19297)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.51  % (19289)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.51  % (19297)First to succeed.
% 0.19/0.52  % (19297)Refutation found. Thanks to Tanya!
% 0.19/0.52  % SZS status Theorem for theBenchmark
% 0.19/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52  % (19297)------------------------------
% 0.19/0.52  % (19297)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (19297)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (19297)Termination reason: Refutation
% 0.19/0.52  
% 0.19/0.52  % (19297)Memory used [KB]: 5500
% 0.19/0.52  % (19297)Time elapsed: 0.097 s
% 0.19/0.52  % (19297)Instructions burned: 5 (million)
% 0.19/0.52  % (19297)------------------------------
% 0.19/0.52  % (19297)------------------------------
% 0.19/0.52  % (19275)Success in time 0.166 s
%------------------------------------------------------------------------------